Explain carefully why the futures price of gold can be calculated from its spot price and other

step 1 So this question looks at differences in your willingness to buy gold. Now, for the first situat

Explain carefully why the futures price of gold can be...

Key Concepts

Cost of Carry Model

This is a financial framework that links the futures price of a commodity to its current spot price by accounting for the costs (and benefits) of holding the commodity until the delivery date. In the case of gold, costs like financing (risk-free rate), storage, and lease rates are well defined and observable. This model allows for a precise calculation of the futures price from the spot price using current market data, under the assumption that arbitrage opportunities correct any deviations from the theoretical law of one price.

Arbitrage and Market Efficiency

Arbitrage is the practice of taking advantage of price discrepancies between markets. In efficient markets, the possibility of arbitrage ensures that the futures price converges to the cost-of-carry calculation from the spot price. Gold benefits from this mechanism because it is easily stored and traded, and its carrying costs are readily measurable. In contrast, for copper, arbitrage is less straightforward because market imperfections and less transparent carrying costs may disrupt the clean relationship between spot and futures prices.

Observable Market Variables

Observable market variables such as the current spot price, the risk-free interest rate, storage costs, and lease rates for gold allow traders to accurately compute its futures price. For copper, however, some of these input variables are harder to quantify or may be unstable due to factors like quality differentials, transportation issues, or fluctuating industrial demand, undermining a precise calculation.

Storage and Physical Delivery Features

The physical characteristics of a commodity significantly impact its pricing. Gold, being highly storable, easily transportable, and uniform in quality, fits well into the cost-of-carry framework where storage and delivery terms are clear and standardized. Copper, however, faces issues such as variable quality, higher transportation costs, and less standardization, making the physical delivery process more complex and the associated costs less observable or constant, thereby complicating a straightforward calculation of its futures price.

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